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Finding the Third Proportional to 43,114 and 64,730

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Solution

The third proportional to 43,114 and 64,730 is: 97,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,114 : 64,730 = 64,730 : x
  2. Step 2: Convert to fraction form
    43,114/64,730 = 64,730/x
  3. Step 3: Cross multiply
    43,114x = 64,730 × 64,730
  4. Step 4: Simplify right side
    43,114x = 4,189,972,900
  5. Step 5: Solve for x
    x = 4,189,972,900/43,114
  6. Step 6: Final answer
    x = 97,183.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.